Finding the Fourth Proportional to 97,642.08, 146,463.12 and 31,081.92
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Solution
The fourth proportional to 97,642.08, 146,463.12 and 31,081.92 is: 46,622.88
Step by Step Solution
- Step 1: Write the proportion equation
97,642.08 : 146,463.12 = 31,081.92 : x - Step 2: Convert to fraction form
97,642.08/146,463.12 = 31,081.92/x - Step 3: Cross multiply
97,642.08x = 146,463.12 × 31,081.92 - Step 4: Simplify right side
97,642.08x = 4,552,354,978.79 - Step 5: Solve for x
x = 4,552,354,978.79/97,642.08 - Step 6: Final answer
x = 46,622.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.